This is an interesting question, and the answer would depend on the exact structure that you have. For Si NC, for example, nanostructures can arise with a crystalline core and an amorphous shell. In other words, the nanostructures is not completely crystallized. Now, upon increaseing the crystalline size, the total surface of the nanostructure might decrease for certain annealing temperatures or other production parameters..
surface area mainly depended on crystal size. Generally crystal size increases with increasing of calcintation temperature. This common behavior of metal oxides,its most understood with principle of nucleation and crystal growth.When goes to higher calnitation temperature in the case of metal oxides number of defects decreasing its means number of atoms per unit area decreases